English

TTOpt: A Maximum Volume Quantized Tensor Train-based Optimization and its Application to Reinforcement Learning

Machine Learning 2022-09-29 v2 Neural and Evolutionary Computing Optimization and Control

Abstract

We present a novel procedure for optimization based on the combination of efficient quantized tensor train representation and a generalized maximum matrix volume principle. We demonstrate the applicability of the new Tensor Train Optimizer (TTOpt) method for various tasks, ranging from minimization of multidimensional functions to reinforcement learning. Our algorithm compares favorably to popular evolutionary-based methods and outperforms them by the number of function evaluations or execution time, often by a significant margin.

Keywords

Cite

@article{arxiv.2205.00293,
  title  = {TTOpt: A Maximum Volume Quantized Tensor Train-based Optimization and its Application to Reinforcement Learning},
  author = {Konstantin Sozykin and Andrei Chertkov and Roman Schutski and Anh-Huy Phan and Andrzej Cichocki and Ivan Oseledets},
  journal= {arXiv preprint arXiv:2205.00293},
  year   = {2022}
}

Comments

26 pages, 8 figures, accepted to Thirty-sixth Conference on Neural Information Processing Systems (NeurIPS 2022). Pre camera-ready version

R2 v1 2026-06-24T11:03:32.301Z